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Finding the Fourth Proportional to 12,028, 18,041.92 and 5,454.04

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Solution

The fourth proportional to 12,028, 18,041.92 and 5,454.04 is: 8,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,028 : 18,041.92 = 5,454.04 : x
  2. Step 2: Convert to fraction form
    12,028/18,041.92 = 5,454.04/x
  3. Step 3: Cross multiply
    12,028x = 18,041.92 × 5,454.04
  4. Step 4: Simplify right side
    12,028x = 98,401,353.36
  5. Step 5: Solve for x
    x = 98,401,353.36/12,028
  6. Step 6: Final answer
    x = 8,181.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.